Search a number
-
+
234242512 = 24729411759
BaseRepresentation
bin11011111011001…
…00000111010000
3121022202202022121
431331210013100
5434431230022
635124344024
75543012530
oct1575440720
9538682277
10234242512
11110250959
1266545014
13396b634a
14231774c0
15158702c7
hexdf641d0

234242512 has 80 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 94510080.

The previous prime is 234242509. The next prime is 234242513. The reversal of 234242512 is 215242432.

234242512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234242513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132289 + ... + 134047.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2234242512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

234242512 is an abundant number, since it is smaller than the sum of its proper divisors (315722288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234242512 is a wasteful number, since it uses less digits than its factorization.

234242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 234242512 is about 15304.9832407618. The cubic root of 234242512 is about 616.4368212165.

Adding to 234242512 its reverse (215242432), we get a palindrome (449484944).

The spelling of 234242512 in words is "two hundred thirty-four million, two hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 1759 2296 2378 3248 3518 4592 4756 7036 8323 9512 12313 14072 16646 19024 24626 28144 33292 49252 51011 66584 72119 98504 102022 133168 144238 197008 204044 288476 357077 408088 504833 576952 714154 816176 1009666 1153904 1428308 2019332 2091451 2856616 4038664 4182902 5713232 8077328 8365804 14640157 16731608 29280314 33463216 58560628 117121256 234242512